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Juliette [100K]
3 years ago
8

Can some explain this

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

9514 1404 393

Answer:

  rectangle: 2x+2 wide by 2x high

  triangle: 2 high

Step-by-step explanation:

Usually, a problem like this is asking you to find dimension expressions that combine to give you the given expression. There are usually a number of possibilities. Using the designators in the attached, we would generally like to have B > C and A about the same as C. That doesn't seem possible with the given factors.

__

The given quadratic expression factors as ...

  area = 4x^2 +6x +2 = (2x+2)(2x +1)

This might be written to match the area formula as ...

  (2x +2)(2x +2/2)

This would give A=2, B=2x+2, C=2x, as shown in the attachment.

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Dana draws a triangle with one angle that has a measure of 40∘.
OLEGan [10]

Answer:

140°

Step-by-step explanation:

<u>Given:</u>

Dana draws a triangle with one angle that has a measure of 40∘.

<u>Question asked:</u>

What is the measure of the angle’s adjacent exterior angle?

Solution:

<u>As we know:</u>

<u><em>Sum of the adjacent interior and exterior angles is 180°.</em></u>

Interior angle = 40°

Adjacent exterior angle = ?

Interior angle + Adjacent exterior angle = 180°

40° + Adjacent exterior angle = 180°

<u>By subtracting both sides by 40°</u>

40° - 40° + Adjacent exterior angle = 180° - 40°

Adjacent exterior angle = 140°

Therefore, the measure of the angle’s adjacent exterior angle will be 140°.

4 0
3 years ago
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away?
Vinvika [58]
525 divided by 150 is 3.5

3.5= 3 hours and 30 mins

answer is b
8 0
3 years ago
Please answer this correctly without making mistakes
maksim [4K]

Answer:

3

1

Step-by-step explanation:

3 0
2 years ago
If nitrogen is warmer than -320
Anna71 [15]

-320<t because the temperature has to be greater then -320

8 0
3 years ago
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